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2528972865 = 325192413797
BaseRepresentation
bin1001011010111101…
…0001000001000001
320112020201010120200
42112233101001001
520134404112430
61054540355413
7116445625506
oct22657210101
96466633520
102528972865
1110885a2821
125a6b45b69
13313c34a63
1419dc334ad
15ec050460
hex96bd1041

2528972865 has 72 divisors (see below), whose sum is σ = 4740496488. Its totient is φ = 1246302720.

The previous prime is 2528972863. The next prime is 2528972867. The reversal of 2528972865 is 5682798252.

It is a happy number.

2528972865 is a `hidden beast` number, since 2 + 528 + 97 + 28 + 6 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (2528972863) and next prime (2528972867).

It can be written as a sum of positive squares in 4 ways, for example, as 214593201 + 2314379664 = 14649^2 + 48108^2 .

It is not a de Polignac number, because 2528972865 - 21 = 2528972863 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2528972863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 664147 + ... + 667943.

It is an arithmetic number, because the mean of its divisors is an integer number (65840229).

Almost surely, 22528972865 is an apocalyptic number.

It is an amenable number.

2528972865 is a deficient number, since it is larger than the sum of its proper divisors (2211523623).

2528972865 is a wasteful number, since it uses less digits than its factorization.

2528972865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887 (or 3865 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 2528972865 is about 50288.8940522657. The cubic root of 2528972865 is about 1362.4316475544.

The spelling of 2528972865 in words is "two billion, five hundred twenty-eight million, nine hundred seventy-two thousand, eight hundred sixty-five".

Divisors: 1 3 5 9 15 19 41 45 57 95 123 171 205 285 361 369 615 779 855 1083 1805 1845 2337 3249 3797 3895 5415 7011 11391 11685 14801 16245 18985 34173 35055 44403 56955 72143 74005 133209 155677 170865 216429 222015 360715 467031 649287 666045 778385 1082145 1370717 1401093 2335155 2957863 3246435 4112151 6853585 7005465 8873589 12336453 14789315 20560755 26620767 44367945 56199397 61682265 133103835 168598191 280996985 505794573 842990955 2528972865